A cable that is 42 feet long is divided into lengths in the ratio 3:4. What are the two lengths into which the cable is divided?
Answer:
18 ft and 24 ft
Step-by-step explanation:
3:4
6:8
9:12
12:16
15:20
18:24, 18+24=42
The two lengths into which the cable is divided is 18 and 24.
Given that,
A cable that is 42 feet long is divided into lengths in the ratio 3:4.Based on the above information, the calculation is as follows:
The first length be
[tex]= 42 \times 3 \div (3 + 4)[/tex]
= 18
And, the second length be
[tex]= 42 \times 4 \div (3 + 4)[/tex]
= 24
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PLEASE HELO ME AND EXPLAIN PLEASE. AND PLEASE SHOW IN STEPS!! i will mark brainliest if you get it correct!
Step-by-step explanation:
The height of the swipe card is given by :
[tex]h(t)=-3t^2+15t+18[/tex] .....(1)
We need to find the maximum height of the swipe card and the time to reach the maximum height.
For maximum height, put dh/dt = 0
So,
[tex]\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s[/tex]
It will take 1.67 seconds to reach the maximum height.
Now, put t = 1.67 s in equation (1).
[tex]h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet[/tex]
Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.
A parallelogram has vertex at (-5 , -1) (-2, -1), (-3,-4), and (-6,-4). What is the approximate perimeter of the parallelogram round your answer to the nearest hundredth
Answer:
12.4 units
Step-by-step explanation:
We have to find the length of the sides of the parallelogram which is calculated using the formula for Distance
= √(x2 - x1)² + (y2 - y1)² where we are given the vertices (x1, y1) and (x2, y2)
For side A
(-5 , -1) (-2, -1)
= √(-2 -(-5))² + (-1 - (-1))²
= √(-2 + 5)² + (-1 + 1)²
= √3² + 0
= √9
= 3 units
For side B
(-2, -1), (-3,-4)
= √(-3 -(-2))² + (-4 -(-1))²
= √(-3 + 2)²+ (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
For side C
(-3,-4), (-6,-4).
= √(-6 -(-3))² + (-4 - (-4))²
= √(-6 + 3)² + (-4 + 4)²
= √-3² + 0²
= √9
= 3 units
For side D
(-5 , -1), (-6,-4)
= √(-6 - (-5))² + (-4 - (-1))²
= √(-6 + 5)² + (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
From the above calculation , we can see that,
side A = side C
side B = side D
The formula for the Perimeter of a Parallelogram is = 2(Side a + Side b)
= 2(3 + 3.2) units
= 2(6.2) units
= 12.4 units
Find the perimeter of this semi-circle with diameter 62cm.
Give your answer as an expression in terms of Pi
Please include the formula
Step-by-step explanation:
hope it helps
have a great day!!
5.
Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second.
Answer:
a or c Im not sure
Step-by-step explanation:
I think b though
The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given,
Loren is running at speed of 10 feet per second.
Speed = distance covered/time taken
10 = distance covered/time taken
In line B, the ratio of distance covered/time taken is 10.
Thus, line B will be correct.
Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".
To learn more about graphs,
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Help me please with math
Answer:
d. 2x³y + 12x²y² + 18xy³
Step-by-step explanation:
Volume = l x b x h
= 2xy × x + 3y × x + 3y
= 2xy × (x + 3y)²
= 2xy × (x² + 6xy + 9y²)
= 2x³y + 12x²y² + 18xy³
Solve the system of linear equations by substitution.
3x – 2y = 23
x + 2y = 13
The solution of the system is
Answer:
point form : (9,2) equation form : x=9 y=2
Step-by-step explanation:
The number of bus riders was recorded on one route. The data have these values: minimum = 18, lower quartile = 22, median = 26, upper quartile = 29, and maximum = 37.
Which box plot represents the data?
Answer:
b cause its b
Step-by-step explanation:
Answer:
Step-by-step explanation:
THe guy is correct its B
What is the total surface area of the triangular prism shown?
Select one:
161 square centimeters
120 square centimeters
136 square centimeters
100 square centimeters
The shaded portion of the bar model in Part A shows 38. What percent is equivalent to 38? Enter the correct answer in the box.
Question:
The shaded portion of the bar model in Part A shows 3/8. What percent is equivalent to 3/8? Enter the correct answer in the box.
Answer:
The equivalent is 37.5%
Step-by-step explanation:
Given
[tex]\frac{3}{8}[/tex]
Required
The equivalent
The model is not shown, but the question can still be solved.
We have:
[tex]\frac{3}{8}[/tex]
Multiply by 100%
[tex]\frac{3}{8} = \frac{3}{8} * 100\%[/tex]
[tex]\frac{3}{8} = 0.375 * 100\%[/tex]
[tex]\frac{3}{8} = 37.5\%[/tex]
Write 3-5 sentences about the process of the Sums and differences of cubes Factoring Method
Answer:
nah nah mane 12
Step-by-step explanation:
Answer:
Step one: Decide if the two terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer. In this case, the two terms only have a 1 in common which is of no help.
Step 2: Rewrite the original problem as a difference of two perfect cubes.
Step 3a: “Write What You See” If you disregard the parenthesis and the cubes in step 2, you should see:
Step 3b: “Square-Multiply-Square” If you square the first term, x, you get x2. If you multiply the two terms, x and 4, you get 4x. Finally, if you square the second term, 4, you get 16.
Step 3c: “Same, Different. End on a Positive” This will determine the signs of the problem. The first sign should be the same as the original question, the next sign should be different then the first, and the last sign should always be positive.
Step 4: Write the final answer.
Step-by-step explanation:
Ivan had 1,500 flyers printed to announce the opening of his new coffee shop. He paid $0.06 per flyer he's paying his friends $0.25 cents per flyer to deliver them. How much will Ivan pay to have all the flyers printed and delivery
can someone help with this i don't get it
Answer:
Lord have mercy thats a bunch of numbers I woud help but i dont know how to start
Step-by-step explanation:
it has to be a exponent
Answer:
7
when dividing exponents with the same base, you subtract them. so, 11-7 = 4
Please help meeeee- look at the figure
Answer:
somethings not right lm.ao
More trig ratios see attachment
Answer:
TanX = 9/12, WX = 15, TanW = 12/9, CosX = 12/15
Step-by-step explanation:
Tan = opposite/adjacent, so 9/12
WX is the missing side, so solve it by taking the square root of (9^2) +( 12^2) and you get 15
Tan again, is opposite/adjacent, so 12/9
Cos is adjacent/hypotenuse, so 12/15
Hopefully this helps! Let me know if you have any questions
Rosa conducted a survey of students' favorite types of music. The results are shown in the table. Of the 550 students in the whole school, how many would you expect to prefer Pop/Rock?
Answer: 264
Step-by-step explanation:
Arlo has $25 to spend on a T-shirt and
shorts for gym class. The shorts cost $14.
Use the inequality 14 +1 < 25, where t
represents the cost of the T-shirt. What is
the most Arlo can spend on the T-shirt?
Arlo has $25 to spend on a T-shirt and
shorts for gym class. The shorts cost $14.
Use the inequality 14 +1 < 25, where t
represents the cost of the T-shirt. What is
the most Arlo can spend on the T-shirt?
the answer is $11.
A rectangular piece of metal 12 cm long 18 cm wide and 10 cm high is melted and recast into 45 cylindrical plates,each of radius 1.2 cm.Find the thickness of each plate giving your answer correct to 2 decimal places?
Answer:
10.61 cm
Step-by-step explanation:
From the question,
The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.
Volume of a cuboid = 45×volume of a cylinder
lwh = 45×πr²h..................... Equation 1
Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.
make h the subject of the equation
h = lwh/(45πr²).................... Equation 2
Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm
Constant: π = 3.142.
Substitute these values into equation 2
h = (12×18×10)/(45×3.142×1.2²)
h = 2160/203.60
h = 10.61 cm.
Is 8, 11.5, 8.5 a right triangle?
Answer:
Monkey says NO
Step-by-step explanation:
It was close, but banana was 1.7 banana short. sorry for your loss.
Please help me on my math assignment you have to write an inequality that models the combinations of multiple choice and essay questions you could answer during the test without running out of time.
Answer:
x + 15y ≤ tStep-by-step explanation:
From the table we see that:
Each multiple choice question takes 1 min and each essay takes 15 min to complete.x multiple choice questions will take x min and y essays will take 15y minTotal time required is x + 15yIf you have t minutes to complete the test then required inequality is:
x + 15y ≤ t9. Given that P = (-1,16) and Q = (1, 9), find the component form and
magnitude of vector QP (Q is initial and Pis terminating). *
Identify the volume of the composite figure. Round to the nearest tenth.
Answer:
474.5 ft ³
Step-by-step explanation:
1) Find the volume of the cube
[tex]A=l^3[/tex] where l is the side length
Plug in 9 ft as l
[tex]A=9^3\\A=729[/tex]
Therefore, the volume of the cube is 729 ft³.
2) Find the volume of the cylinder
[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder
Plug in 3 ft as the radius and 9 as the height
[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]
Therefore, the volume of the cylinder is approximately 254.5 ft ³.
3) Subtract the volume of the cylinder from the volume of the cube
729 ft³ - 254.5 ft ³
= 474.5 ft ³
Therefore, the volume of the figure is 474.5 ft ³.
I hope this helps!
Answer:
I think It's A
Step-by-step explanation:
HELPPME PLEASE ASAP i will give brainliest
Answer:
don't know but I think these is the answer =
17
Step-by-step explanation:
90 - 73 = 17
please help as soon as possible and please don’t take advantage of the points
a:1 hour
b:1.5 hours
c:2 hours
d: 3.5 hours
e:5.5 hours
Answer:
2 hours
Step-by-step explanation:
5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12
Answer:
10c + 12
Step-by-step explanation:
I believe that is the answer please let me know if I am wrong
Fred's recipe for a smoothie called for 1/3 of an apple, 1/4 of a lemon, and 2/3 of peach to make a single smoothie. A family of 6 arrives and they all want that smoothie.
Answer:
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
Step-by-step explanation:
Recipe for 1 smoothie:
1/3 of an apple
1/4 of a lemon
2/3 of peach
A family of 6 arrives and they all want that smoothie.
Multiply every recipe for 1 smoothie by 6
Recipe for 6 smoothies:
6 × 1/3 of an apple
= 6/3 = 2 apples
6 × 1/4 of a lemon
= 6/4 = 3/2 of a lemon
6 × 2/3 of peach
= 12/3 = 4 peaches
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
A plastic box has the dimensions shown. 2 square pyramids are stacked on their bases. The bases are 8 centimeters by 8 centimeters and the height of each pyramid is 7.5 centimeters. What is the volume of the box? 160 cm3 320 cm3 480 cm3 960 cm3
Answer:
the answer is 320
Step-by-step explanation:
just did the instruction
Answer:
320
Step-by-step explanation:
To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
Wow look at my full percent battery
find the value of given expression
[tex] \sqrt{99 - ( - 1)} [/tex]
Answer:
10
Step-by-step explanation:
Note that when there are two negative signs directly next to each other, you are adding:
[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex]
Simplify:
[tex]\sqrt{100} = \sqrt{10 * 10} = 10[/tex]
10 is your value for the given expression
Answer:
± 10Step-by-step explanation:
[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex] = ± 10Solve the system by substitution.
y = 7x – 20
y = 2x
Answer:
x=4 y=8
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation